The ergodicity of the random two dimensional Lorenz gas is
known to follow from a CLT for the position. Yet, this last result is not
fully established even if one ignores recollisions. Toward such a goal
I will describe a technique to establish a quenched CLT result for a random
sequence of Anosov symplectic maps.
Domenico Marinucci Università di Roma "Tor Vergata"